Honey Pot II

Discrete Mathematics Level pending

In Hundred Acre Wood, there are 5 holes in a row. Rabbit likes to hops between consecutive holes. At any hole $$1<i<5$$, she is as likely to jump to the left ($$i-1$$) hole as the right ($$i+1$$) hole.

Tiger playfully steals two of Winnie's favorite honey and hide them in the first and last hole. Rabbit starts hoping at the second hole. What is the expected number of hops before she lands on any of the holes that contain honey?

You are encouraged to solve a previous version of this problem first.
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